Methane hydrate is an ice-like crystalline substance (gas clathrate) made of water molecules encasing a molecule of methane.
A ubiquitous example of the "snap to" structure in Adobe Photoshop occurs in floating-point arithmetic.
Fractures are the primary pathways for fluid flow in low-permeability subsurface media, such as shale or granite.
Current methods for characterizing Earth’s subsurface are not sufficiently accurate to meet the needs of modern applications.
Extreme events are unexpected, transient phenomena with large magnitudes that take place over short time scales.
The High-Performance Conjugate Gradients Benchmark complements the HPL Benchmark and is part of the TOP500 effort.
Simple ordinary differential equations can explain the surprisingly long range of a sling versus the surprisingly short range of a bullet.
In his talk at AN18, Thomas Hales will explain how some paradoxes play into self-verifying computer programs.
In his talk at AN18, Bill Symes will discuss our knowledge of Earth's interior and how it is an inverse problem.
Ernest Davis reviews Exact Thinking in Demented Times: The Vienna Circle and the Epic Quest for the Foundations of Science by Karl Sigmund.
At its 2018 Annual Meeting, the AAAS will sponsor a symposium on mathematical approaches to major challenges.
As most SIAM members are aware, science policy decisions greatly affect the state of scientific research.
2017 / xxiv + 456 pages / softcover / ISBN 978-1-611975-19-2 / List Price $76.00 / SIAM Member Price $53.20 / Order Code: CL78
Keywords: elementary, algorithmic, numerical analysis, scientific computation
Preface to the Classics Edition;
Chapter 1: Number Systems and Errors;
Chapter 2: Interpolation by Polynomial;
Chapter 3: The Solution of Nonlinear Equations;
Chapter 4: Matrices and Systems of Linear Equations;
Chapter 5: Systems of Equations and Unconstrained Optimization;
Chapter 6: Approximation;
Chapter 7: Differentiation and Integration;
Chapter 8: The Solution of Differential Equations;
Chapter 9: Boundary Value Problems;
Appendix: Subroutine Libraries;
Appendix: New MATLAB Programs;
This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The intended audience is upper-division undergraduates in engineering, mathematics, and the sciences, including computer science. The book has served well as a text book. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.
About the Authors
Samuel D. Conte was a Professor of Computer Science and Mathematics at Purdue University. Starting in 1962, he led the Purdue Department of Computer Science for its first 17 years. Prior to that, Professor Conte served as the manager of the Math and Programming Department of the Aerospace Corporation, taught at Wayne State University, and was head of the Mathematics and Programming Departments at TRW Inc.
Carl de Boor is presently Professor emeritus of Mathematics and Computer Science at the University of Wisconsin-Madison and Affiliated Professor of Applied Mathematics at the University of Washington. His early work at the Mathematics Department of GM Research at Warren, MI led to his lifelong preoccupation with spline functions. He is the author of A Practical Guide to Splines and co-author of Box Splines. He is the recipient of the 2003 National Medal of Science in Mathematics and Computer Science in recognition of his contributions to scientific computing.